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Finding the Third Proportional to 432,582 and 578,643

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Solution

The third proportional to 432,582 and 578,643 is: 774,021.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,582 : 578,643 = 578,643 : x
  2. Step 2: Convert to fraction form
    432,582/578,643 = 578,643/x
  3. Step 3: Cross multiply
    432,582x = 578,643 × 578,643
  4. Step 4: Simplify right side
    432,582x = 334,827,721,449
  5. Step 5: Solve for x
    x = 334,827,721,449/432,582
  6. Step 6: Final answer
    x = 774,021.39

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.